Reconstruction of the standard model in a generalized differential geometry based on the real structure

2001 ◽  
Vol 20 (1) ◽  
pp. 185-191 ◽  
Author(s):  
Y. Okumura ◽  
H. Kase ◽  
K. Morita
Keyword(s):  
Differential Geometry ◽  
Standard Model ◽  
Real Structure ◽  
The Real ◽  
The Standard Model ◽  
Generalized Differential

scholarly journals A FIELD-THEORETIC APPROACH TO CONNES' GAUGE THEORY ON M4 × Z2

2001 ◽  
Vol 16 (19) ◽  
pp. 3203-3216 ◽  
Author(s):  
HIROMI KASE ◽  
KATSUSADA MORITA ◽  
YOSHITAKA OKUMURA
Keyword(s):  
Differential Geometry ◽  
Gauge Theory ◽  
Standard Model ◽  
Field Strength ◽  
Electric Charge ◽  
Theoretic Approach ◽  
Higgs Potential ◽  
Charge Quantization ◽  
Generation Number ◽  
The Standard Model

Connes' gauge theory on M4 × Z2 is reformulated in the Lagrangian level. It is pointed out that the field strength in Connes' gauge theory is not unique. We explicitly construct a field strength different from Connes' and prove that our definition leads to the generation-number independent Higgs potential. It is also shown that the nonuniqueness is related to the assumption that two different extensions of the differential geometry are possible when the extra one-form basis χ is introduced to define the differential geometry on M4 × Z2. Our reformulation is applied to the standard model based on Connes' color-flavor algebra. A connection between the unimodularity condition and the electric charge quantization is then discussed in the presence or absence of νR.

scholarly journals Dreaming, Phenomenal Character, and Acquaintance

Acquaintance ◽  
2019 ◽  
pp. 145-168
Author(s):  
Tom Stoneham
Keyword(s):  
Standard Model ◽  
Real World ◽  
Phenomenal Character ◽  
Prima Facie ◽  
Social Model ◽  
The Real ◽  
The Standard Model

Dreams are often defined as sleeping experiences with phenomenal character similar to perceptions of the real world. Hence they pose a prima facie challenge to accounts of phenomenal character in terms of acquaintance relations. One response is disjunctivist: to give a different account of their phenomenal character from that of successful perceivings. I argue that, given the alleged frequency of dreaming on the standard model, this disjunctivist approach weakens the explanatory value of the acquaintance account of the phenomenal character of successful perceivings. Another response is to follow Malcolm and Dennett in denying that dreaming has phenomenal character at all. I present a cultural-social model of dreams and argue that we lack theory-neutral evidence of the phenomenal character of dreams and thus it is legitimate to choose between theories of dreaming on the basis of their fit with our best theory of the phenomenal character of successful perceivings, namely acquaintance.

scholarly journals Real Part of Twisted-by-Grading Spectral Triples

2020 ◽  
Author(s):  
Manuele Filaci ◽  
◽  
Pierre Martinetti ◽  
◽  
◽  
...  
Keyword(s):  
Standard Model ◽  
Spectral Triple ◽  
Spectral Triples ◽  
The Real ◽  
Initial Algebra ◽  
The Standard Model ◽  
Twisted Spectral Triples

After a brief review on the applications of twisted spectral triples to physics, we adapt to the twisted case the notion of real part of a spectral triple. In particular, when one twists a usual spectral triple by its grading, we show that - depending on the KO dimension - the real part is either twisted as well, or is the intersection of the initial algebra with its opposite. We illustrate this result with the spectral triple of the standard model.

scholarly journals Artificial Intelligence and the Problem of Control

2021 ◽  
pp. 19-24
Author(s):  
Stuart Russell
Keyword(s):  
Artificial Intelligence ◽  
Decision Making ◽  
Standard Model ◽  
Real World ◽  
New Model ◽  
The Real ◽  
Ability To Act ◽  
The Standard Model ◽  
Philosophy And Economics

AbstractA long tradition in philosophy and economics equates intelligence with the ability to act rationally—that is, to choose actions that can be expected to achieve one’s objectives. This framework is so pervasive within AI that it would be reasonable to call it the standard model. A great deal of progress on reasoning, planning, and decision-making, as well as perception and learning, has occurred within the standard model. Unfortunately, the standard model is unworkable as a foundation for further progress because it is seldom possible to specify objectives completely and correctly in the real world. The chapter proposes a new model for AI development in which the machine’s uncertainty about the true objective leads to qualitatively new modes of behavior that are more robust, controllable, and deferential to humans.

A DETAILED ACCOUNT OF ALAIN CONNES’ VERSION OF THE STANDARD MODEL IN NON-COMMUTATIVE DIFFERENTIAL GEOMETRY III

1996 ◽  
Vol 08 (01) ◽  
pp. 103-165 ◽  
Author(s):  
DANIEL KASTLER
Keyword(s):  
Differential Geometry ◽  
Standard Model ◽  
Tensor Product ◽  
Initial Treatment ◽  
Product Structure ◽  
Detailed Account ◽  
Classical Level ◽  
Noncommutative Differential Geometry ◽  
The Standard Model

We describe in detail Alain Connes’ last presentation of the (classical level of the) standard model in noncommutative differential geometry, now free of the cumbersome adynamical fields which parasited the initial treatment. Accessorily, the theory is presented in a more transparent way by systematic use of the skew tensor-product structure, and of 2×2 matrices with 2×2 matrix-entries instead of the previous 4×4 matrices.

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